“…Introducing mode filters is another effective approach for inducing additional losses specifically targeting high-order modes. Examples of such mode filters include tapered lasers, phase structures, external cavity configurations, tilted waveguides, microstructures, and inhomogeneous waveguides [14], [15], [16], [17], [18], [19], [20], [21]. However, these methods are subject to limitations, as they often come at the cost of decreased output power or require complex designs, which restrict their practical applicability.…”